Question

Computation of an inverse trigonometric series using complex numbers

score 488 · Answer 1 · 2016-04-24 08:03:18

488

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Computation of an inverse trigonometric series using complex numbers

Published on 24 Apr 2016 - 8:03

score 279 · Answer 2 · 2016-04-24 18:08:30

279

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prove $\sum_{k=1}^n(-1)^{k+1}\cos^{2n+1}\left(\dfrac{k\pi}{2n+1}\right)=\frac{1}{2}-\frac{2n+1}{2^{2n+1}}$

Published on 24 Apr 2016 - 18:08

score 27 · Answer 3 · 2016-04-26 06:58:28

27

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On a certain series of cosines

Published on 26 Apr 2016 - 6:58

score 863 · Answer 4 · 2016-04-26 14:25:01

863

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Finite sum $\sum_{n=2}^N\frac{1}{n^2}\sin^2(\pi x)\csc^2(\frac{\pi x}{n})$

Published on 26 Apr 2016 - 14:25

score 159 · Answer 5 · 2016-04-27 12:42:08

159

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Why do I get different results for the same integral?

Published on 27 Apr 2016 - 12:42

score 83 · Answer 6 · 2016-04-27 23:03:31

83

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Evaluate the following trignometric sum

Published on 27 Apr 2016 - 23:03

score 2.2k · Answer 7 · 2016-05-03 08:26:18

2.2k

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Product of trigonometric polynomials is a trigonometric polynomial

Published on 03 May 2016 - 8:26

score 102 · Answer 8 · 2016-05-06 10:10:49

102

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Coefficients of a cosine series

Published on 06 May 2016 - 10:10

score 93 · Answer 9 · 2026-03-27 17:05:01

93

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Trigonometric series convergence

Published on 27 Mar 2026 - 17:05

score 7.7k · Answer 10 · 2016-05-11 10:58:03

7.7k

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Find the number of solutions of $\sin x+2 \sin 2x- \sin 3x=3$

Published on 11 May 2016 - 10:58

score 50 · Answer 11 · 2016-05-15 09:51:48

50

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How does $\cos(x)\cdot\cos\left(\frac{3}{2}x\right)$ become $\frac{1}{2}\left(\cos\left(\frac{1}{2}x\right) + \cos\left(\frac{5}{2}x\right)\right)$?

Published on 15 May 2016 - 9:51

score 52 · Answer 12 · 2016-05-17 10:21:51

52

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a Proof onInverse Trigonometry

Published on 17 May 2016 - 10:21

score 81 · Answer 13 · 2016-05-22 19:30:02

$\lim\limits_{i\mapsto \infty} \sum_{i=1}^\infty \sin(\theta_{i+1}-\theta_{i})$ = ? , where $\theta_{i}= \pi\sum_{j=0}^i \frac{1}{{(2)}^j}$

score 190 · Answer 14 · 2016-05-29 06:20:01

190

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How does $ \frac{1}{x}\left(\frac{\pi}{2} - \arctan\frac{1}{x}\right)$ simplify to $\frac{1}{x} \arctan x $?

Published on 29 May 2016 - 6:20

score 135 · Answer 15 · 2016-05-31 10:35:53

135

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Given $\tan 3x=4$, find the value of $\tan^2 x+\tan ^2(120+x)+\tan^2 (60+x)$

Published on 31 May 2016 - 10:35

List Question

Computation of an inverse trigonometric series using complex numbers

prove $\sum_{k=1}^n(-1)^{k+1}\cos^{2n+1}\left(\dfrac{k\pi}{2n+1}\right)=\frac{1}{2}-\frac{2n+1}{2^{2n+1}}$

On a certain series of cosines

Finite sum $\sum_{n=2}^N\frac{1}{n^2}\sin^2(\pi x)\csc^2(\frac{\pi x}{n})$

Why do I get different results for the same integral?

Evaluate the following trignometric sum

Product of trigonometric polynomials is a trigonometric polynomial

Coefficients of a cosine series

Trigonometric series convergence

Find the number of solutions of $\sin x+2 \sin 2x- \sin 3x=3$

How does $\cos(x)\cdot\cos\left(\frac{3}{2}x\right)$ become $\frac{1}{2}\left(\cos\left(\frac{1}{2}x\right) + \cos\left(\frac{5}{2}x\right)\right)$?

a Proof onInverse Trigonometry

$\lim\limits_{i\mapsto \infty} \sum_{i=1}^\infty \sin(\theta_{i+1}-\theta_{i})$ = ? , where $\theta_{i}= \pi\sum_{j=0}^i \frac{1}{{(2)}^j}$

How does $ \frac{1}{x}\left(\frac{\pi}{2} - \arctan\frac{1}{x}\right)$ simplify to $\frac{1}{x} \arctan x $?

Given $\tan 3x=4$, find the value of $\tan^2 x+\tan ^2(120+x)+\tan^2 (60+x)$

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